An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation
type: Item
instance of: scholarly article
title: An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation
zbMATH Open document ID: 0956.65063
DOI: 10.1016/S0377-0427(99)00109-0
published in: Journal of Computational and Applied Mathematics
publication date: 2001-02-27T00:00:00Z
review text: The author develops an eighth algebraic order exponentially fitted method for the numerical solution of the radial Schrödinger equation. Based on this method and on the sixth order exponentially fitted method presented by the author [J. Comput. Math. 14, No. 2, 120-134 (1996; Zbl 0847.65048)] a new variable-step method is obtained. The author applies the method to some test examples consisting of coupled differential equations arising from the Schrödinger equation and the numerical results indicates it superiority with respect to other classical and exponentially fitted methods.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 1367897
zbMATH Keywords: radial Schrödinger equation
zbMATH Keywords: exponentially fitted method
zbMATH Keywords: numerical examples
zbMATH Keywords: variable-step method
author: T. E. Simos
reviewed by: J. P. Zubelli
describes a project that uses: EXPFIT4
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1367897